What would you do? Please read before voting

So I’m just over 41 weeks and no signs of baby coming. My midwife cleared me to try castor oil (so it would be medically monitored if I do decide to take it). I have an exam for college on Thursday that I can defer to the end of semester which was the plan assuming baby would’ve arrived. Now I’m having doubts as to whether take the castor oil today hoping baby comes and defer the exam, or wait till Thursday and just do the exam since I waited so long anyways. If baby doesn’t come till Friday I have to go for an induction this weekend so my fear is that the castor oil doesn’t work on Thurs and not having a second attempt. I’d like to avoid a medical induction cause they don’t let my husband in the hospital until the birth is imminent so basically last few minutes. If I went in during established labour he can go in with me. What would you do?

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